Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 189870, 12 pages
Some Fixed Point Theorem for Mapping on Complete -Metric Spaces
Department of Mathematics, The Hashemite University, P.O. Box 330127, Zarqa 13115, Jordan
Received 1 April 2008; Accepted 10 July 2008
Academic Editor: Brailey Sims
Copyright © 2008 Zead Mustafa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We prove some fixed point results for mapping
satisfying sufficient conditions on complete -metric space, also
we showed that if the -metric space is symmetric, then
the existence and uniqueness of these fixed point results follow
from well-known theorems in usual metric space , where
is the usual metric space which defined from the
-metric space .